On the Behavior of Zeros and Poles of Best Uniform Polynomial and Rational Approximants-Reference-Cited by-同舟云学术

On the Behavior of Zeros and Poles of Best Uniform Polynomial and Rational Approximants

Published:1988 Issue: Volume: Page:57-75
ISSN:
Container-title:Nonlinear Numerical Methods and Rational Approximation
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Author:

Grothmann R.,Saff E. B.

Publisher

Springer Netherlands

Link

http://link.springer.com/content/pdf/10.1007/978-94-009-2901-2_3.pdf

Reference11 articles.

1. S.N. Bernstein, ‘Sur la valeur asymptotique de la meilleure approximation de |x|’, Acta Mathematica 37 (1913), 1–57.

2. P.B. Borwein, ‘The relationship between the zeros of best approximants and differentiabi1ity’, Proc. Amer. Math. Soc. 92 (1984), 528–532.

3. H.-P. Blatt, A. Iserles, E.B. Saff, ‘Remarks on the behavior of best approximating polynomials and rational functions’, In: Algorithms for Approximation (IMA conference series: new ser. 10) (J.C. Mason and M.G. Cox, ed), Oxford University Press (1987), pp. 437–445.

4. H.-P. Blatt and E.B. Saff, ‘Behavior of zeros of polynomials of near best approximation’, J. Approx. Theory 46, No. 4 (1986), 323–344.

5. H.-P. Blatt, E.B. Saff, M. Simkani, ‘Jentzsch-Szegö type theorems for the zeros of best approximants’, (to appear).

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